34934549760 has 432 divisors, whose sum is σ = 136126867968. Its totient is φ = 8194867200.

The previous prime is 34934549753. The next prime is 34934549773. The reversal of 34934549760 is 6794543943.

It is a happy number.

34934549760 is a `hidden beast` number, since 3 + 4 + 9 + 34 + 549 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34934549697 and 34934549706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3923874 + ... + 3932766.

Almost surely, 2^34934549760 is an apocalyptic number.

34934549760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34934549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68063433984).

34934549760 is an abundant number, since it is smaller than the sum of its proper divisors (101192318208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34934549760 is a wasteful number, since it uses less digits than its factorization.

34934549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 34934549760 in words is "thirty-four billion, nine hundred thirty-four million, five hundred forty-nine thousand, seven hundred sixty".